What is the least common multiple of 6, 18, and 8?

6 = 2 • 3

8 = 23

18 = 2 • 32

72

Step-by-step explanation:

Consider the least common multiple of 6 and 8

The multiples of 6 are : 6, 12, 18, 24, 30, 36, ...

The multiples of 8 are : 8, 16, 24, 32, 40, ...

The common multiple is 24 or 48 or 72

The multiples of 18 are : 18, 36, 54, 72, 90, ...

Since 72 is a common multiple of 8 and 6 and also a multiple of 72

Then the least common multiple of 6, 18 and 8 is 72